Mathematics High School

True or False: The following two systems of equations are equivalent:
6d + 4.5e = 16.5
5d + 0.5e = 4
and
30d + 22.5e = 82.5
5d + 0.5e = 4
O True
O False

Answers

Answer 1

Answer:

True.. :) Have a nice day.

Step-by-step explanation:

Answer 2

TRUE , the two system of equations are equivalent

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

We have two sets of equations

Let the first set of equation be A

Let the second set of equation be B

Equation set A :

6d + 4.5e = 16.5    be equation (1)

5d + 0.5e = 4   be equation (2)

Equation set B :

30d + 22.5e = 82.5   be equation (3)

5d + 0.5e = 4   be equation (4)

Now , we can see that Equation (3) is a multiple of Equation (1)

Multiply equation (1) by 5 , we get

5 ( 6d + 4.5e = 16.5 )

30d + 22.5e = 82.5   be equation (5)

Therefore , equation (5) = equation (3)

So , equation (1) = equation (3)

And , equation (2) = equation (4)

Therefore , Equation set A is equivalent to Equation set B

Hence , the two system of equations are equivalent

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Related Questions

jas is 8 years younger than Sandeep 10 years ago their ages total 20 how old are they now​

Answers

Answer: Jas is 9, and Sandeep is 11.

Step-by-step explanation: 9 + 11 = 20

Find the average rate of change from a table.

Answers

Answer:

C. 1/2 (1 foot every 2 seconds)

The average rate of change is 1/2 foot.

Write and solve the equation, and then check your answer.

The sum of two and two tenths and a number is five.

Which statements are correct? Check all that apply.

A.The word “sum” means the result of adding two numbers.
B.The correct equation is n – 2.2 = 5.
C.The correct equation is n + 2.2 = 5.
D. The solution of the equation is n = 7.2.
E.The solution of the equation is n = 2.8.
F.Check the solution by substituting the value for n and simplifying.

Answers

Answer:

A, C, E, F

Step-by-step explanation:

I took the assignment

Answer:

A,C,E,F

Step-by-step explanation:

I KNOW IT IS

You move down 3 units. You end at (5,-2). Where did you start?

Answers

I think it’s (5,-5)

Last year at a certain high school, there were 50 boys on the honor roll and 100 girls on the honor roll. This year, the number of boys on the honor roll decreased by 8% and the number of girls on the honor roll decreased by 15%. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary). pls help

Answers

Answer:

46 for boys and 85 for girls

Step-by-step explanation:

2. The sum of the roots of a quadratic equation is -5. If
one of the roots isz, how would you determine the
equation? Write the equation.

Answers

Answer:

plz leave answer choices plz and thank you i tried but im very sorry i wrong question

Step-by-step explanation:

Your search - Mathematics 15 seconds ago +15 pts 2. The sum of the roots of a quadratic equation is -5. If ... - did not match any documents.

Suggestions:

Make sure all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

what is the change between -15 and 11

Answers

the change is plus 4

(3.8•10^7)-(7.7•10^7)

Answers

Answer:

=-39000000

Step-by-step explanation:

Hope this helps (:


Given: Y is the midpoint of XZ
Prove: XY = 1/2 XZ
Statements
Reasons

Answers

Answer:

The proposition If Y is the midpoint of XZ, then XY = 1/2 XZ is true.

Step-by-step explanation:

We proceed to present the demonstration of the following proposition:

If Y is the midpoint of XZ, then XY = 1/2 XZ.

1) Y is the midpoint of XZ. Given.

2) [tex]XY + YZ = XZ[/tex] Definition of line segment.

3) [tex]XY = YZ[/tex] By 1)

4) [tex]2\cdot XY = XZ[/tex] 3) in 2)

5) [tex]XY = \frac{1}{2}\cdot XZ[/tex] Algebra/Result

Therefore, the proposition If Y is the midpoint of XZ, then XY = 1/2 XZ is true.

The blue figure is translated _____ units ___ and ____ units ____ from the red figure.

Answers

The blue figure is translated 5 units left and 2 units down from the red figure.

PLEASE HELP! WILL MARK BRAINLIEST!

Answers

Answer:

-25

Step-by-step explanation:

(-6) (-5) - (-5)

    -30 -(-5)=-25

in the isosceles trapezoid below x = ?

Answers

5x-20=2x+37

3x-20=37

3x=57

x=19

A cone has a radius and height of 15 inches. What is the volume of the cone?

Answers

Answer:

3532.5

Step-by-step explanation:

Here’s the equation you would followe

V=1/3h(3.14)r^2

H=height

R=radius

8z - 22 = 3(3z + 11) - z​

Answers

Answer:

There are no solutions.

Step-by-step explanation:

8z−22=3(3z+11)−z

Step 1: Simplify both sides of the equation.

8z−22=3(3z+11)−z

8z+−22=(3)(3z)+(3)(11)+−z(Distribute)

8z+−22=9z+33+−z

8z−22=(9z+−z)+(33)(Combine Like Terms)

8z−22=8z+33

8z−22=8z+33

Step 2: Subtract 8z from both sides.

8z−22−8z=8z+33−8z

−22=33

Step 3: Add 22 to both sides.

−22+22=33+22

0=55

Write two integers with different signs that have a sum of -25.
Write two integers with the same sign that have a sum of -25.

Answers

Answer:

1.

-25+0

-30+5

2.

-15-10

-20-5

HELP ASAP!!!
Select all that apply.

Which of the following statements are true of the greatest common factor of two numbers?

O Each number must share the factor.
O The number must be large.
O The greatest common factor could be 1.
O The number must be the largest factor both numbers share.

Answers

Answer:

the second answer is wrong, and the rest is all correct

Step-by-step explanation:

The GCF has to be the largest factor they share, but it's not necessary for it to be large.

Answer:

each number must share the factor.

the greatest common factor could be one.

the number must be the largest factor both share.

Step-by-step explanation:

what is 9/12 in simpleist form

Answers

The answer to this question is 3/4 or .75

Answer:

It's 3/4

Step-by-step explanation:

The Greatest Common Factor is 3.

divide that by 9 and 12, 9 divided by 3 is 3

12 divided by 3 is 4.

A rectangular box is 8 inches long, 10 inches wide, and 6 inches tall.

What is the approximate length of its longest diagonal?

Answers

Answer:

480

Step-by-step explanation:

If you take length times width times height so it'll be 8 times 10 = 80 times 6 =480

solve question 2x + 13 =

Answers

Answer:

x= -6.5

Step-by-step explanation:

2x+13=0

2x=-13

x=-6.5

The answer above is correct my dude

4) Choose the correct inequality for this situation.
The Walter family budgets a maximum amount of $124 for a camping trip.
Mr. Walter already spent $40. How many people x can go canoeing if the
cost is $21 per person?
A- 21x + 40 >_ 124
B- 21x + 40 <_124
C- 40x + 21 < _124
D- 21x + 40 > 124

Answers

Answer:

B. 21x + 40 ≤ 124

Step-by-step Explanation:

Maximum amount budgeted = $124 (this means they can't spend more than this)

x = number of people

Cost per head = $21

Given that Mr Walter already spent $40, which is part of the money budgeted, the number of people that can go canoeing cam be expressed with the following inequality:

21x + 40 ≤ 124

(note: the amount total to be spent will either be equal to or greater than $124, because it's the maximum amount budgeted for spending).

X + (-9) = 32
What is the answer

Answers

Answer:

the answer to x+(-9)=32 is x=41

X=41 will be the answer for this

mark bought 4 pounds of apples for $7.56 what was the cost per pound?

Answers

Answer:

$1.89 per pound

Step-by-step explanation:

$7.56÷4

cost of 4 pounds of apples=$7.56
To find:cost of 1 pound of apples
Therefore, cost of one pound of apple = 7.56 / 4
=$1.89

(6x+ 3)(6x^2− 8x + 1)

can anyone please show the work on how to get the answer? Thank you :,)

Answers

Answer:

Step-by-step explanation:

36x^3 - 48x^2 + 6x + 18x^2 - 24x + 3

36x^3 - 30x^2 - 18x + 3

Question 1 please. Please help

Answers

Answer:

74.22

Step-by-step explanation:

52.39+21.83=74.22

2 COLLUM PROOFS 1 question

Answers

Answer:

1. <AOB and <XOZ are vert. <'s           1. Given

   m<AOB = 80     m<XOZ = 6x+5

2. m<AOB = m<XOZ                            2. Vertical <'s are congruent

3. 80 = 6x+5                                       3. Substitution

4. 75 = 6x                                              4. Subtraction Property of equality

5. 12.5 = x                                              5. Division Property of equality    

Step-by-step explanation:

look at image and answer plz

Answers

Answer:

y=64 :)

Step-by-step explanation:

40/ [tex]\frac{5}{8\\}[/tex]= 64

pls give brainliest if correcto

help , i need this assignment don asap

Answers

Answer:

I think it's 17/28 but I don't knkw

What grade are you in ? I think ik what this is

Write the equation of a line in slope-intercept form with a slope of -1 and a y-
intercept of -1.
y = -x - 5
y = -5x - 1
y = -x-1
y= -5x -5

Answers

Answer:

y = -x - 1

Step-by-step explanation:

Slope intercept form is y = mx + b, where m is the slope and b is the y intercept.

Plug in the slope and y intercept into the equation

y = mx + b

y = -x - 1 is the equation in slope intercept form

Answer:

y = -x - 1

Step-by-step explanation:

Slope intercept form is y = mx + b, where m is the slope and b is the y intercept.

Plug in the slope and y intercept into the equation

y = mx + b

y = -x - 1 is the equation in slope intercept form

A container has 400 liters of water, and a second container has 800 liters of water. The first container begins filling up at a rate of 4 liters per minute at the same time the second starts draining at a rate of 6 liters per minute. How many minutes will pass until the containers have the same amount of water?​

Answers

Answer:

1000

Step-by-step explanation:

Dustin surveyed 50 students at his school about their music preferences. The results are shown in the table. There are a total of 722 students at Justin‘s school. Based on the survey results, which is the best estimate of the number of students who prefer hip-hop music?

Answers

Answer:240 thank me later -Amanda wlms

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

Other Questions
What is the measure of Zx?Angles are not necessarily drawn to scale.B1490 What happened during the Battle of Little Bighorn? Lt. Col. Custer advanced into American Indian territory. The Cheyenne battled the Sioux. The Cheyenne allied with the Sioux. US troops and American Indian warriors were evenly matched in battle. Custer encountered many more American Indian warriors than expected. Custer and all his men were killed. Fuji apples grown at a certain orchard have a mean weight of 5.2 ounces with a standard deviation of 0.8 ounces. Suppose the scale the orchard owner uses systematically underweighs apples by 0.2 ounces and also weighs the apples in grams, rather than ounces. What would the mean and standard deviation of these apples' weights be as determined by this scale? (Note: 1 ounce 28 grams). What was the movement of rational thinking and empowerment that influenced many ofthe Founding Fathers? Why did American colonies in different regions develop varying economic, political, and societal practices? fill in the line to complete each statementJoints in train tracks are designed with extra space to allow for _____In hot weather Anyone help me out very much appreciate plzzzzz Before 2004, Bonaire relied on which of the following energy sources for power? Petroleum Coal Natural gas Diesel fuel compare 'intensive subsistence farming' with that of 'commercial farming' Which phrase best completes this table?Federalists favored:The Constitution as writtenWhich phrase best completes this table?PLEASE HELP I DONT UNDERSTAND THIS I WILL MARK BRAINLIEST LOOK AT THE PICTURE!!!!!!A. A strong central governmentB. Outlawing slaveryC. Rights for womenD. States having the most power A governmental entity has formally integrated the budget into its accounting records and uses encumbrance accounting. During the year the government ordered but had not yet received a new police car. What effect will this event have on the unencumbered balance in the account "Expenditurescapital outlay, police department"? Nora notices water droplets on the grass in the morning. It did not rain during the night. Which statement is true about this change of state?Mass was added to the water particles, resulting in deposition. Energy was added to the water particles, resulting in evaporation. Mass was removed from the water particles, resulting in sublimation. Energy was removed from the water particles, resulting in condensation. Which phrase guides the reader to use a threatening tone? "If you don't, Ill do this" "made me cry out" "I opened the parlour door" "I was so utterly terrified" A deck of cards has dimensions 8.9cm x 5.72cm x 1.82 cm. What is the volume of the deck in cubic centimeters? PLEASE HELP!!! Match each equation with its slope Why do those with professional licenses or certification still need training throughout their careers A package of 3pairs of insulated gloves cost $17.97. What is the unit price of the pairs of gloves Someone plz answer this How does the game of Nukem resemble volleyball? What skills are the same? What skills are different? 13 = 11 - 4x Two step equation please help?